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Finding the Fourth Proportional to 83,119.64, 114,713.36 and 49,585.64

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Solution

The fourth proportional to 83,119.64, 114,713.36 and 49,585.64 is: 68,433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,119.64 : 114,713.36 = 49,585.64 : x
  2. Step 2: Convert to fraction form
    83,119.64/114,713.36 = 49,585.64/x
  3. Step 3: Cross multiply
    83,119.64x = 114,713.36 × 49,585.64
  4. Step 4: Simplify right side
    83,119.64x = 5,688,135,372.15
  5. Step 5: Solve for x
    x = 5,688,135,372.15/83,119.64
  6. Step 6: Final answer
    x = 68,433.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.